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13057628257 is a prime number
BaseRepresentation
bin11000010100100101…
…11001100001100001
31020201000020020120101
430022102321201201
5203220223101012
65555410142401
7641403003022
oct141222714141
936630206511
1013057628257
1155a0766413
122644b81a01
1313012cb26b
148bc28ac49
15516536d57
hex30a4b9861

13057628257 has 2 divisors, whose sum is σ = 13057628258. Its totient is φ = 13057628256.

The previous prime is 13057628249. The next prime is 13057628279. The reversal of 13057628257 is 75282675031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13056261696 + 1366561 = 114264^2 + 1169^2 .

It is a cyclic number.

It is not a de Polignac number, because 13057628257 - 23 = 13057628249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13057628357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6528814128 + 6528814129.

It is an arithmetic number, because the mean of its divisors is an integer number (6528814129).

Almost surely, 213057628257 is an apocalyptic number.

It is an amenable number.

13057628257 is a deficient number, since it is larger than the sum of its proper divisors (1).

13057628257 is an equidigital number, since it uses as much as digits as its factorization.

13057628257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 13057628257 in words is "thirteen billion, fifty-seven million, six hundred twenty-eight thousand, two hundred fifty-seven".